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Finding the Fourth Proportional to 9,873.28, 14,790.34 and 5,186.22

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Solution

The fourth proportional to 9,873.28, 14,790.34 and 5,186.22 is: 7,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.28 : 14,790.34 = 5,186.22 : x
  2. Step 2: Convert to fraction form
    9,873.28/14,790.34 = 5,186.22/x
  3. Step 3: Cross multiply
    9,873.28x = 14,790.34 × 5,186.22
  4. Step 4: Simplify right side
    9,873.28x = 76,705,957.11
  5. Step 5: Solve for x
    x = 76,705,957.11/9,873.28
  6. Step 6: Final answer
    x = 7,769.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.